33949029618 has 96 divisors (see below), whose sum is σ = 87796141056. Its totient is φ = 9269862624.

The previous prime is 33949029601. The next prime is 33949029629. The reversal of 33949029618 is 81692094933.

33949029618 is a `hidden beast` number, since 339 + 4 + 9 + 0 + 296 + 18 = 666.

It is a super-2 number, since 2×33949029618² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3783205 + ... + 3792167.

It is an arithmetic number, because the mean of its divisors is an integer number (914543136).

Almost surely, 2^33949029618 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33949029618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43898070528).

33949029618 is an abundant number, since it is smaller than the sum of its proper divisors (53847111438).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33949029618 is a wasteful number, since it uses less digits than its factorization.

33949029618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10308 (or 10305 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 33949029618 in words is "thirty-three billion, nine hundred forty-nine million, twenty-nine thousand, six hundred eighteen".